Justification of a simplified model for shells in nonlinear elasticity

被引：2

作者：

Blanchard, Dominique ^{[1
]}

Griso, Georges ^{[2
]}

机构：

[1] Univ Rouen, UMR 6085, Lab Raphael Salem, F-76801 St Etienne, France

[2] Univ Paris 06, Anal Numer Lab, F-75252 Paris 05, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2010年 / 348卷 / 7-8期

关键词：

DERIVATION;

D O I：

10.1016/j.crma.2010.02.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a simplified model for the minimization of the elastic energy in thin shells. The thickness of the shell remains a parameter in this new model. (C) 2010 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：461 / 465

页数：5

共 50 条

[21] Justification of the nonlinear Schrodinger equation for a resonant Boussinesq model
Duell, Wolf-Patrick
Schneider, Guido
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2006, 55 (06) : 1813 - 1834
[22] CONSTRUCTION OF SIMPLIFIED EQUATIONS OF NONLINEAR DYNAMICS OF PLATES AND SHALLOW SHELLS BY THE AVERAGING METHOD
ANDRIANOV, IV
[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1986, 50 (01): : 126 - 129
[23] JUSTIFICATION OF A 2-DIMENSIONAL SHALLOW SHELL-MODEL IN LINEARIZED ELASTICITY
CIARLET, PG
MIARA, B
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1990, 311 (09): : 571 - 574
[24] A justification of two cylindrical bonded shells
Lods, V
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2001, 333 (08): : 813 - 816
[25] On the justification of the frictionless time-dependent Koiter's model for thermoelastic shells
Piersanti, Paolo
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 296 : 50 - 106
[26] Identification of the Model of Nonlinear Elasticity in Dynamic Experiments
Sokolova, Marina
Astapov, Yuri
Khristich, Dmitrii
[J]. INTERNATIONAL JOURNAL OF APPLIED MECHANICS, 2021, 13 (02)
[27] Pointwise estimates for a model problem in nonlinear elasticity
Leonetti, Francesco
[J]. FORUM MATHEMATICUM, 2006, 18 (03) : 529 - 534
[28] A nonlinear elasticity model for structured mesh adaptation
LeTallec, P
Marin, C
[J]. COMPUTATIONAL FLUID DYNAMICS '96, 1996, : 275 - 281
[29] A distributed nonlinear model of lung tissue elasticity
Maksym, GN
Bates, JHT
[J]. JOURNAL OF APPLIED PHYSIOLOGY, 1997, 82 (01) : 32 - 41
[30] ELASTICITY RELATIONS IN THE NONLINEAR THEORY OF LONG CYLINDRICAL SHELLS UNDER A THERMOMECHANIC DEFORMATION.
Kayuk, Ya.F.
Kil'chinskaya, G.A.
[J]. 1600, (21):

← 1 2 3 4 5 →